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Finding the Fourth Proportional to 564,339.24, 778,807.98 and 309,692.52

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Solution

The fourth proportional to 564,339.24, 778,807.98 and 309,692.52 is: 427,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,339.24 : 778,807.98 = 309,692.52 : x
  2. Step 2: Convert to fraction form
    564,339.24/778,807.98 = 309,692.52/x
  3. Step 3: Cross multiply
    564,339.24x = 778,807.98 × 309,692.52
  4. Step 4: Simplify right side
    564,339.24x = 241,191,005,922.31
  5. Step 5: Solve for x
    x = 241,191,005,922.31/564,339.24
  6. Step 6: Final answer
    x = 427,386.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.